The sensitivity relationship between the machine adjustment parameter errors and surface errors of the hypoid gears was researched herein,and the major impact of the machine adjustment parameter errors were determined based on the method of SFT(spiral format title),and a least parametrical modification method of tooth surface errors was proposed.The tooth surface mathematical model of a spiral bevel gear by SFT was established,and the equations of theoretical tooth bearing and error tooth were established,the analytical expression of tooth surface processing errors caused by the machine adjustment parameter errors was derived,and the concept of error influence coefficient
was proposed,and the impact of surface errors caused by machine adjustment parameter errors can be obtained according to the error influence coefficient.Through comparison
of theoretical tooth bearing and error tooth,the effect law of tooth surface node processing errors and the whole tooth surface normal errors were determined.The major impacts of the machine adjustment parameter errors were determined by analytical and numerical method.The relationship
between the machine adjustment parameter errors and surface errors was determined by the functional method,and the optimal solution of the machine adjustment parameter was solved by using the sequential quadratic programming method.The correct method
proposed can effectively reduce the tooth surface error by means of experimental verification.